Least Common Multiple of 1159 and 1164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1159 and 1164 the smallest integer that is 1349076 that is divisible by both numbers.

Least Common Multiple (LCM) of 1159 and 1164 is 1349076.

LCM(1159,1164) = 1349076

LCM of 1159 and 1164

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1159 and 1164

LCM of 1159 and 1164 is 1349076

Least common multiple can be found by multiplying the highest exponent prime factors of 1159 and 1164. First we will calculate the prime factors of 1159 and 1164.

Prime Factorization of 1159


19 1159
61 61
1

Prime factors of 1159 are 19,61. Prime factorization of 1159 in exponential form is:

1159 = 191×611

Prime Factorization of 1164


2 1164
2 582
3 291
97 97
1

Prime factors of 1164 are 2, 3,97. Prime factorization of 1164 in exponential form is:

1164 = 22×31×971

Now multiplying the highest exponent prime factors to calculate the LCM of 1159 and 1164.

LCM(1159,1164) = 22×31×191×611×971
LCM(1159,1164) = 1349076

Factors of 1159

List of positive integer factors of 1159 that divides 1159 without a remainder.

1, 19, 61, 1159

Factors of 1164

List of positive integer factors of 1164 that divides 1164 without a remainder.

1, 2, 3, 4, 6, 12, 97, 194, 291, 388, 582, 1164

Least Common Multiple of 1159 and 1164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1159 and 1164, than apply into the LCM equation.

GCF(1159,1164) = 1
LCM(1159,1164) = ( 1159 × 1164) / 1
LCM(1159,1164) = 1349076 / 1
LCM(1159,1164) = 1349076

Properties of LCM 1159 and 1164

(i) The LCM of 1164 and 1159 is associative

LCM of 1159 and 1164 = LCM of 1164 and 1159

Related Least Common Multiples of 1159

Related Least Common Multiples of 1164

Frequently Asked Questions on LCM of 1159 and 1164

1. What is the LCM of 1159 and 1164?

Answer: LCM of 1159 and 1164 is 1349076.

2. What are the Factors of 1159?

Answer: Factors of 1159 are 1, 19, 61, 1159. There are 4 integers that are factors of 1159. The greatest factor of 1159 is 1159.

3. What are the Factors of 1164?

Answer: Factors of 1164 are 1, 2, 3, 4, 6, 12, 97, 194, 291, 388, 582, 1164. There are 12 integers that are factors of 1164. The greatest factor of 1164 is 1164.

4. How to Find the LCM of 1159 and 1164?

Answer:

Least Common Multiple of 1159 and 1164 = 1349076

Step 1: Find the prime factorization of 1159

1159 = 19 x 61

Step 2: Find the prime factorization of 1164

1164 = 2 x 2 x 3 x 97

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1349076 = 2 x 2 x 3 x 19 x 61 x 97

Step 4: Therefore, the least common multiple of 1159 and 1164 is 1349076.